Hvad er vertexformen af 3y = (2x - 3) (x - 3)?

Svar:

# Y = 2/3 (x-9/4) ^ 2-3 / 8 #

Forklaring:

# "ligningen af en parabola i" farve (blå) "vertex form" # er.

#COLOR (rød) (bar (ul (| farve (hvid) (2/2) farve (sort) (y = a (x-h) ^ 2 + k) farve (hvid) (2/2) |))) #

# "hvor" (h, k) "er koordinaterne til vertexet og en" # "

# "er en multiplikator" #

# "for at udtrykke" 3y = (2x-3) (x-3) "i denne form" #

# RArr3y = 2x ^ 2-9x + 9 #

# • "koefficienten for" x ^ 2 "termen skal være 1" #

# RArr3y = 2 (x ^ 2-9 / 2x + 9/2) #

# • "add / subtract" (1/2 "koefficient x-term") ^ 2 #

# "til" x ^ 2-9 / 2x #

# 3y = 2 (x ^ 2 + 2 (-9/4) xcolor (rød) (+ 81/16) farve (rød) (- 81/16) +9/2) #

#color (hvid) (3y) = 2 (x-9/4) ^ 2-9 / 8larrcolor (blå) "divider med 3" #

# rArry = 2/3 (x-9/4) ^ 2-3 / 8larrcolor (rød) "i vertex form" #